10cosx-5sinx=5

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Solution for 10cosx-5sinx=5 equation: 


Simplifying
10cosx + -5sinx = 5

Solving
10cosx + -5insx = 5

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '5insx' to each side of the equation.
10cosx + -5insx + 5insx = 5 + 5insx

Combine like terms: -5insx + 5insx = 0
10cosx + 0 = 5 + 5insx
10cosx = 5 + 5insx

Divide each side by '10osx'.
c = 0.5o-1s-1x-1 + 0.5ino-1

Simplifying
c = 0.5o-1s-1x-1 + 0.5ino-1

Reorder the terms:
c = 0.5ino-1 + 0.5o-1s-1x-1

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